Prime p₀= 2999116700315892911 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: Orange Kid
db: batch=82, k=10, 2 64 2 70 2

STPT(10)	2999115213233628059	0 2 18 20 30 32 42 44 60 62	-1487082264852
SPT(18)	2999115558657457669	0 24 30 34 42 52 100 112 118 174 180 192 240 250 258 262 268 292	-1141658435242
SPT(16)	2999115738945337057	0 22 46 76 106 156 166 232 390 456 466 516 546 576 600 622	-961370555854
TPT(14)	2999115899707120409	0 2 72 74 102 104 138 140 150 152 210 212 270 272	-800608772502
SPT(16)	2999116527981601007	0 2 14 50 54 66 80 92 144 156 170 182 186 222 234 236	-172334291904
STPT(10)	2999116671167366381	0 2 30 32 78 80 126 128 156 158	-29148526530
SPT(16)	2999117180630708563	0 10 34 60 76 90 96 130 174 208 214 228 244 270 294 304	480314815652
STPT(10)	2999117262470528609	0 2 12 14 90 92 168 170 180 182	562154635698
STPT(10)	2999117453770919177	0 2 30 32 72 74 114 116 144 146	753455026266
STPT(10)	2999117522225844359	0 2 18 20 30 32 42 44 60 62	821909951448
SPT(16)	2999117673477869641	0 22 42 48 76 90 106 136 162 192 208 222 250 256 276 298	973161976730